Dan is at the grand opening celebration of a supermarket. He spins a wheel with 10 equal-sized slices, as shown below. The wheel has 6 black stices, 2 grey sices, and 2 white slices, When the wheel is spun, the arrow stops on a stice at random. If the arrow stops on the border of two slices, the wheel is spun again.
(a) If the arrow stops on a white slice, ohen Dan wins a gift card. Find the odds in faces of Dan winning a pift card.
(b) If the arrow stops on a white slice, then Dan wins a gift card. Find the gdolszalist Dan winning o gift card:
Answer
Final Answer: The odds of Dan winning a gift card is \(\boxed{0.2}\) or 20%.
Step 1 ：Given that the wheel has 10 slices in total, and 2 of them are white.
Step 2 ：If the arrow stops on a white slice, Dan wins a gift card.
Step 3 ：So, the odds of Dan winning a gift card is the number of white slices divided by the total number of slices.
Step 4 ：Using the formula for odds, \(\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\), we substitute the given values.
Step 5 ：Substituting the given values, we get \(\frac{2}{10} = 0.2\).
Step 6 ：Final Answer: The odds of Dan winning a gift card is \(\boxed{0.2}\) or 20%.
